A Class of Vector Lyapunov Functions for Stability Analysis of Nonlinear Impulsive Differential Systems

A novel and effective approach to stability of the solutions of nonlinear systems with impulsive effect is considered. The investigations are carried out by means of a class of vector Lyapunov functions and differential inequalities for piecewise continuous functions. Simulation examples are given t...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2014; no. 2014; pp. 1 - 9
Main Author Qunli, Zhang
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Puplishing Corporation 01.01.2014
Hindawi Publishing Corporation
Hindawi Limited
Subjects
Computer simulation
Dynamical systems
Euclidean space
Functions (mathematics)
Inequalities
Liapunov functions
Lyapunov functions
Mathematical analysis
Mathematical problems
Nonlinear systems
Stability
Stability analysis
Vectors (mathematics)
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Summary:A novel and effective approach to stability of the solutions of nonlinear systems with impulsive effect is considered. The investigations are carried out by means of a class of vector Lyapunov functions and differential inequalities for piecewise continuous functions. Simulation examples are given to illustrate the presented results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1024-123X
1563-5147
DOI:10.1155/2014/649012